115084125 has 128 divisors (see below), whose sum is σ = 238318080. Its totient is φ = 54432000.

The previous prime is 115084117. The next prime is 115084129. The reversal of 115084125 is 521480511.

It is not a de Polignac number, because 115084125 - 2³ = 115084117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 115084125 = 100³ + 485³ = 165³ + 480³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115084129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1886595 + ... + 1886655.

It is an arithmetic number, because the mean of its divisors is an integer number (1861860).

Almost surely, 2^115084125 is an apocalyptic number.

115084125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

115084125 is an abundant number, since it is smaller than the sum of its proper divisors (123233955).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115084125 is a wasteful number, since it uses less digits than its factorization.

115084125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 115084125 is about 10727.7269260547. The cubic root of 115084125 is about 486.4129625186.

The spelling of 115084125 in words is "one hundred fifteen million, eighty-four thousand, one hundred twenty-five".